Question

1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.​

Answer 1

Total Money spent on Music CDs = 10
`*` 10 = $100

Total Money spent on Cassette tapes = 4
`*` 3 = $12

Explanation:

Given that:

Total money spent = $112

Number of music purchases = 14

Cost of one Music CD = $10

Cost of one cassette = $3

To find:

How much money was paid for each music CD and each cassette.

Solution:

Let the number of Music CDs purchased =
`x`

Money spent on Music CDs =
`\$10* x`

Then the number of cassette tapes purchased =
`14-x`

Money spent on cassette tapes =
`\$3* (14-x)`

As per the question statement:

`10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10`

Therefore, number of Music CDs purchased = 10

Total Money spent on Music CDs = 10
`*` 10 = $100

And number of cassette tapes purchased = 14 - 10 = 4

Total Money spent on Cassette tapes = 4
`*` 3 = $12